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Finding the Third Proportional to 45,536,293,703 and 68,036,593,744

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Solution

The third proportional to 45,536,293,703 and 68,036,593,744 is: 101,654,695,888.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,536,293,703 : 68,036,593,744 = 68,036,593,744 : x
  2. Step 2: Convert to fraction form
    45,536,293,703/68,036,593,744 = 68,036,593,744/x
  3. Step 3: Cross multiply
    45,536,293,703x = 68,036,593,744 × 68,036,593,744
  4. Step 4: Simplify right side
    45,536,293,703x = 4,628,978,088,286,100,127,744
  5. Step 5: Solve for x
    x = 4,628,978,088,286,100,127,744/45,536,293,703
  6. Step 6: Final answer
    x = 101,654,695,888.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.